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Finding the Fourth Proportional to 224,952.20, 310,424.58 and 129,462.20

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Solution

The fourth proportional to 224,952.20, 310,424.58 and 129,462.20 is: 178,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,952.20 : 310,424.58 = 129,462.20 : x
  2. Step 2: Convert to fraction form
    224,952.20/310,424.58 = 129,462.20/x
  3. Step 3: Cross multiply
    224,952.20x = 310,424.58 × 129,462.20
  4. Step 4: Simplify right side
    224,952.20x = 40,188,249,060.88
  5. Step 5: Solve for x
    x = 40,188,249,060.88/224,952.20
  6. Step 6: Final answer
    x = 178,652.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.